scholarly journals EXTENDED CRITICAL SITUATIONS: THE PHYSICAL SINGULARITY OF LIFE PHENOMENA

2008 ◽  
Vol 16 (02) ◽  
pp. 309-336 ◽  
Author(s):  
FRANCIS BAILLY ◽  
GIUSEPPE LONGO

In this paper, we propose to consider living systems as "coherent critical structures," though extended in space and time, their unity being ensured through global causal relations between levels of organization (integration/regulation). This may be seen as a further contribution to the large amount of work already done on the theme of self-organized criticality. More precisely, our main physical paradigm is provided by the analysis of "phase transitions," as this peculiar form of critical state presents interesting aspect of emergence: the formation of extended correlation lengths and coherence structures, the divergence of some observables with respect to the control parameter(s), etc…. However, the "coherent critical structures" which are the main focus of our work cannot be reduced to existing physical approaches, since phase transitions, in physics, are treated as "singular events," corresponding to a specific well-defined value of the control parameter. Whereas our claim is that in the case of living systems, these coherent critical structures are "extended" and organized in such a way that they persist in space and time. The relation of this concept to the theory of autopoiesis, as well as to various forms of teleonomy, often present in biological analyses, will be also discussed.

1997 ◽  
Vol 228 (3) ◽  
pp. 202-204 ◽  
Author(s):  
M.E.J. Newman ◽  
Simon M. Fraser ◽  
Kim Sneppen ◽  
William A. Tozier

1994 ◽  
Vol 1 (2/3) ◽  
pp. 191-197 ◽  
Author(s):  
C. Hooge ◽  
S. Lovejoy ◽  
D. Schertzer ◽  
S. Pecknold ◽  
J.-F. Malouin ◽  
...  

Abstract. Fractal and occasionally multifractal behaviour has been invoked to characterize (independently of their magnitude) the spatial distribution of seismic epicenters, whereas more recently, the frequency distribution of magnitudes (irrespective of their spatial location) has been considered as a manifestation of Self-Organized Criticality (SOC). In this paper we relate these two aspects on rather general grounds, (i.e. in a model independent way), and further show that this involves a non-classical SOC. We consider the multifractal characteristics of the projection of the space-time seismic process onto the horizontal plane whose values are defined by the measured ground displacements, we show that it satisfies the requirements for a first order multifractal phase transition and by implication for a non-classical SOC. We emphasize the important consequences of the stochastic alternative to the classical (deterministic) SOC.


2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Ludmila Brochini ◽  
Ariadne de Andrade Costa ◽  
Miguel Abadi ◽  
Antônio C. Roque ◽  
Jorge Stolfi ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document